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Finding the Third Proportional to 61,049,019 and 133,074,651

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Solution

The third proportional to 61,049,019 and 133,074,651 is: 290,076,122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,049,019 : 133,074,651 = 133,074,651 : x
  2. Step 2: Convert to fraction form
    61,049,019/133,074,651 = 133,074,651/x
  3. Step 3: Cross multiply
    61,049,019x = 133,074,651 × 133,074,651
  4. Step 4: Simplify right side
    61,049,019x = 17,708,862,738,771,800
  5. Step 5: Solve for x
    x = 17,708,862,738,771,800/61,049,019
  6. Step 6: Final answer
    x = 290,076,122.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.